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Finding the Fourth Proportional to 519.85, 778.87 and 433.74

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Solution

The fourth proportional to 519.85, 778.87 and 433.74 is: 649.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.85 : 778.87 = 433.74 : x
  2. Step 2: Convert to fraction form
    519.85/778.87 = 433.74/x
  3. Step 3: Cross multiply
    519.85x = 778.87 × 433.74
  4. Step 4: Simplify right side
    519.85x = 337,827.07
  5. Step 5: Solve for x
    x = 337,827.07/519.85
  6. Step 6: Final answer
    x = 649.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.